With my cross bow I would take the shot aiming slightly to the right of the dark hair were the neck meets the shoulders (it should cut the wind pipe and go into the heart or lungs) with my 7mm-08 rifle I would take the shot aiming between her ears in the middle of her skull.
Whether with my Mathews Monster or Remington 11-87 (in Illinois) I wouldn't risk penetrating through the vitals and gut shooting the deer. I wouldn't take a headshot either, especially after shooting a button buck last year who's jaw had been blown off by another hunter. I assume from a failed attempt at a headshot. This doe appears to be relaxed and feeding so chances are if I wait a minute or two, she'll turn and give me a much preferred broadside shot. Then again maybe a second later she'll wind me, her tail up, and alert every deer in the vicinity. That's still better, in my opinion, than losing a wounded deer or having to clean stomach contents and crap off my tenderloins.
I agree about not being in a hurry and maybe waiting. If I wanted this doe and was using a bow, I would wait for a better angle. If close enough though, with a pistol or rifle a head shot should not be a problem. But only if it were a sure thing. Much prefer to let em walk if not a high percentage shot.
No, I want trophies more than meat.
I'll have to jump on board with the views of wating for a broadside shot...I know some guys like head shots, and they are effective, no doubt, if applied with an effective caliber/bullet combination, but imho, I'll wait for a better shot or not shoot at all...
I would wait if I had my bow, She obviously is not alert and I'd wait for the broadside shot.
I'd shoot in a heartbeat with my rifle and would with my handgun if she is as close as she appears in the picture. I'd limit my pistol shot to 25 yards with that small of a target. Aiming center brain.